An energy estimate for the biharmonic equation and its application to Saint-Venant's principle in plane elastostatics
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Publication:584945
zbMath0524.73001MaRDI QIDQ584945
Publication date: 1983
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
energy estimateelastostaticsboundary value problem for biharmonic equationestimation of stresses in plane elasticity
Saint-Venant's principle (74G50) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Related Items (13)
Some Phragmén-Lindelöf type results for the biharmonic equation ⋮ Improved spatial decay bounds in the plane Stokes flow ⋮ End effects for plane deformations of an elastic anisotropic semi- infinite strip ⋮ Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip ⋮ Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder. ⋮ Structural stability for a coupled system of wave plate type ⋮ Unnamed Item ⋮ Spatial behavior of a coupled system of wave-plate type ⋮ Saint-Venant decay rates for an inhomogeneous isotropic linear thermoelastic strip ⋮ On Saint-Venant's principle in a poroelastic arch-like region ⋮ On Saint-Venant's principle for a homogeneous elastic arch-like region ⋮ On Saint-Venant's principle for a linear poroelastic material in plane strain ⋮ Convexity considerations and spatial behavior for the harmonic vibrations in thermoelastic plates
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